Capgemini
Company
Numerical Ability
Time and Work
3 designers x,y and z can stitch 324 dresses in 6 weeks working simultaneously. During one shift, z stitches as many dresses more than y as y stitches more than x. Z’s work in 10 weeks in equivalent to x’s work in 14 weeks. How many dresses does x stitch per shift.
a. 21 b 15 c. 27 d. 18
Read Solution (Total 4)
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- x+y+z=324/6=54
z-y=y-x then z+x=2y
10z=14x then 5z=7x
solving the equations we get x=15 - 9 years agoHelpfull: Yes(20) No(0)
- efficiency of z and y are 14 and 10 ( where effic. is inveresely proportional to time)
=>the ratio of efficiency is 10:12:14 => 5:6:7 x:y:z take 5k+6k+7k=18k
6(5k+6k+7k)=324
on simplification we get k=3;
x=5*k=5*3=15
similarly
y=18
z= 21
it satisfies the condition
==>z=y+2
==> y=x+2
fine!? - 9 years agoHelpfull: Yes(11) No(3)
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